Solutions of a multi-point boundary value problem for higher-order differential equations at resonance (II)

Archivum Mathematicum

Volumn 41, Issue 2, 2005, Pages 209-227

  Liu, Yuji ^a,b   Weigao, G E ^a  

^a HUNAN INSTITUTE OF SCIENCE AND TECHNOLOGY   (China)

^b BEIJING INSTITUTE OF TECHNOLOGY   (China)

Author keywords

Higher order differential equation; Multi point boundary value problem; Resonance; Solution

Indexed keywords

EID: 24144441718     PISSN: 00448753     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (23)

1. Agarwal, R. P., O'Regan, D., Wong, P. J. Y., Positive solutions of differential, difference and integral equations, Kluwer Academic, Dordrecht 1999.
2. Agarwal, R. P., Boundary value problems for higher order differential equations, World Scientific, Singapore 1986.
3. Agarwal, R. P., Focal boundary value problems for differential and difference equations, Kluwer, Dordrecht 1998.
4. Agarwal, R. P., O'Regan, D., Lakshmikantham, V., Singular (p,n-p) focal and (n,p) higher order boundary value problems, Nonlinear Anal. 42 (2000), 215-228.
5. Eloe, P. W., Henderson, J., Positive solutions for (n -1,1) conjugate boundary value problems, Nonlinear Anal. 28 (1997), 1669-1680.
6. Feng, W., Webb, J. R. L., Solvability of three-point boundary value problems at resonance, Nonlinear Anal. 30 (1997), 3227-3238.
7. Feng, W., Webb, J. R. L., Solvability of m-point boundary value problems with nonlinear growth, J. Math. Anal. Appl. 212 (1997), 467-489.
8. Gupta, C. P., A sharper conditions for the solvability of three-point second order boundary value problem, J. Math. Anal. Appl. 205 (1997), 579-586.
9. Gupta, C. P., Solvability of a three-point nonlinear boundary value problem for a second order ordinary differential equation, J. Math. Anal. Appl. 168 (1992), 540-551.
10. Il'in, V., Moiseev, E., Non-local boundary value problems of the second kind for a Sturm-Liouville operator, Differential Equations 23 (1987), 979-987.
11. Il'in, V., Moiseev, E., Non-local boundary value problems of first kind for a Sturm-Liouville operator in its differential and finite difference aspects, Differential Equations 23 (1987), 803-810.
12. Liu, B., Solvability of multi-point boundary value problems at resonance (III), Appl. Math. Comput. 129 (2002), 119-143.
13. Liu, B., Solvability of multi-point boundary value problems at resonance (IV), Appl. Math. Comput. 143 (2003), 275-299.
14. Liu, B., Yu, J., Solvability of multi-point boundary value problems at resonance (I), Indian J. Pure Appl. Math. 33(4) (2002), 475-494.
15. Liu, B., Yu, J., Solvability of multi-point boundary value problems at resonance (II), Appl. Math. Comput. 136 (2003), 353-377.
16. Liu, Y., Ge, W., Positive solutions for (n -1,1) three-point boundary value problems with coefficient that changes sign, J. Math. Anal. Appl. 282 (2003), 816-825.
17. Liu, Y., Ge, W., Solutions of a multi-point boundary value problem for higher-order differential equations at resonance (I), preprint.
18. Liu, Y., Ge, W., Solutions of a multi-point boundary value problem for higher-order differential equations at resonance (III), preprint.
19. Ma, R., Existence theorems for a second order three point boundary value problem, J. Math. Anal. Appl. 212 (1997), 430-442.
20. Ma, R., Existence theorems for a second order m-point boundary value problem, J. Math. Anal. Appl. 211 (1997), 545-555.
21. Ma, R., Positive solutions of nonlinear three-point boundary value problems, Electron. J. Differential Equations 34 (1998), 1-8.
22. Mawhin, J., Toplogical degree methods in nonlinear boundary value problems, in: NSFCBMS Regional Conference Series in Math., American Math. Soc. Providence, RI 1979.
23. Mawhin, J., Toplogical degree and boundary value problems for nonlinear differential equations, in: P. M. Fitzpertrick, M. Martelli, J. Mawhin, R. Nussbanm (Eds.), Toplogical Methods for Ordinary Differential Equations, Lecture Notes in Math. 1537, Springer-Verlag, New York/Berlin, 1991.